Wave Number Calculator

✖Wavelength is the distance between two consecutive peaks or troughs of a wave, representing the repeating pattern of a wave's oscillation.ⓘ Wavelength [λ]

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✖Wave Number is a measure of the number of waves or oscillations occurring per unit distance in a physical system, characterizing wave properties.ⓘ Wave Number [k]

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Wave Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number = (2*pi)/Wavelength
k = (2*pi)/λ
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wave Number - Wave Number is a measure of the number of waves or oscillations occurring per unit distance in a physical system, characterizing wave properties.
Wavelength - (Measured in Meter) - Wavelength is the distance between two consecutive peaks or troughs of a wave, representing the repeating pattern of a wave's oscillation.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (2*pi)/λ --> (2*pi)/0.4

Evaluating ... ...

k = 15.707963267949

STEP 3: Convert Result to Output's Unit

15.707963267949 --> No Conversion Required

FINAL ANSWER

15.707963267949 ≈ 15.70796 <-- Wave Number

(Calculation completed in 00.020 seconds)

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Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

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< Wave Characteristics Calculators

Mass per Unit Length of String

LaTeX Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)

Tension in String

LaTeX Go Tension of String = Velocity of Wave^2*Mass per Unit Length

Wave Number using Angular Frequency

LaTeX Go Wave Number = Angular Frequency/Velocity of Wave

Wave Number

LaTeX Go Wave Number = (2*pi)/Wavelength

Wave Number Formula

LaTeX Go

Wave Number = (2*pi)/Wavelength
k = (2*pi)/λ

What is a Wave Number?

A wave number is a measure of the number of wavelengths per unit distance, typically in the context of waves such as light or sound. It represents the spatial frequency of a wave and is usually expressed in reciprocal meters. Wave number is important in the study of wave properties and behaviors in various scientific fields.

How to Calculate Wave Number?

Wave Number calculator uses Wave Number = (2*pi)/Wavelength to calculate the Wave Number, Wave Number formula is defined as a measure of the number of oscillations or cycles per unit distance, which characterizes the spatial periodicity of a wave, providing a fundamental property of a wave in physics, particularly in the context of wave propagation and diffraction. Wave Number is denoted by k symbol.

How to calculate Wave Number using this online calculator? To use this online calculator for Wave Number, enter Wavelength (λ) and hit the calculate button. Here is how the Wave Number calculation can be explained with given input values -> 15.70796 = (2*pi)/0.4.

FAQ

What is Wave Number?

Wave Number formula is defined as a measure of the number of oscillations or cycles per unit distance, which characterizes the spatial periodicity of a wave, providing a fundamental property of a wave in physics, particularly in the context of wave propagation and diffraction and is represented as k = (2*pi)/λ or Wave Number = (2*pi)/Wavelength. Wavelength is the distance between two consecutive peaks or troughs of a wave, representing the repeating pattern of a wave's oscillation.

How to calculate Wave Number?

Wave Number formula is defined as a measure of the number of oscillations or cycles per unit distance, which characterizes the spatial periodicity of a wave, providing a fundamental property of a wave in physics, particularly in the context of wave propagation and diffraction is calculated using Wave Number = (2*pi)/Wavelength. To calculate Wave Number, you need Wavelength (λ). With our tool, you need to enter the respective value for Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wave Number?

In this formula, Wave Number uses Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Number = Angular Frequency/Velocity of Wave

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